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36985:【精编】人教A版高中数学必修五课件:1.1正弦定理2课件-精心整理_图文

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1.1正弦定理(2)

正弦定理: a ? b ? c =2R
sin A sin B sin C

变形:
a ? 2R sin A, b ? 2R sin B, c ? 2R sin C

sin A ? a ,sin B ? b ,sin C ? c

2R

2R

2R

sin A : sin B : sin C ? a : b : c

1、在中A,BC
若sinA:sinB:sinC=4:5:6, 且a+b+c=30,则a=, b=,c=。
2、在中A,BC A:B:C =1:2:3
则a:b:c=。

三角形面积计算公式

1、S

?

1 2

aha

?

1 2

bhb

?

1 2

chc

2、S= 1 a b sinC = 1 a c sinB = 1 b c sinA

2

2

2

练习:
1、设△ABC的外接圆半径为R,且已知c=4, C=45°,则R=________. 3
2、__已__知_△__A_.BC的面积为,且2b=2,c=,则A3=
3、在△ABC中,B=45°, C=60°,a=2(+13), △ABC的面积为______

在?ABC中,B ? 30?,c ? 2 3,b ? 2 求此三角形的面积。

制作不易 尽请参考

作业:
1、在△ABC中,A=,a6=0,b=1,3求边c的 长。
2、在?ABC中,A ? 45?,a=2,b ? 2, 求三角形的面积。


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